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Finding the Third Proportional to 3,135,410 and 4,582,114

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Solution

The third proportional to 3,135,410 and 4,582,114 is: 6,696,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,410 : 4,582,114 = 4,582,114 : x
  2. Step 2: Convert to fraction form
    3,135,410/4,582,114 = 4,582,114/x
  3. Step 3: Cross multiply
    3,135,410x = 4,582,114 × 4,582,114
  4. Step 4: Simplify right side
    3,135,410x = 20,995,768,708,996
  5. Step 5: Solve for x
    x = 20,995,768,708,996/3,135,410
  6. Step 6: Final answer
    x = 6,696,339.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.